A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity (Q2871180)
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scientific article; zbMATH DE number 6248923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity |
scientific article; zbMATH DE number 6248923 |
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A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity (English)
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22 January 2014
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curved domains
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hybridized discontinuous Galerkin (HDG) methods
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hybridization
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superconvergence
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elliptic problems
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a priori error analysis
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steady-state diffusion problems
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numerical experiments
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The a priori error analysis of a technique for numerical solution of steady-state diffusion problems on curved domains is presented. It is shown that the order of convergence in the \(L^2\)-norm of the approximate flux and scalar unknowns is optimal if the distance between the boundary of the original domain and the computational domain is of order \(h\). Further, the superconvergence of the projection of the error of the scalar variable is proven. The numerical experiments confirming the theoretical results are shown.
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